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math.AG2000
Kahler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces
Jennifer M. Johnson, János Kollár
We determine the complete list of anticanonically embedded quasi smooth log del Pezzo surfaces in weighted projective 3-spaces. We prove that many of these admit a Kähler-Einstein…
math.AG2000
Characterizations of in arbitrary characteristic
Yasuyuki Kachi, János Kollár
We prove that a smooth projective variety of dimension n is isomorphic to projective n-space iff the canonical class is -(n+1)-times an ample divisor. In characteristic zero this w…